Solve the equation for the unknown quantity x.
-$8 ^ { x / 5 } = 55$
A) $0.1$
B) $9.64$
C) $6.42$
D) $0.58$

Name: Solve the equation for the unknown quantity x. -$8 ^ { x / 5 } = 55$ A) $0.1$ B) $9.64$ C) $6.42$ D) $0.58$
Brand: Quizplus
Rating: 4.9 (31 reviews)

Question

Quizplus · Accepted Answer

To solve $8^{x/5} = 55$, take the logarithm of both sides. Using the property of logarithms, $log(a^b) = b \cdot log(a)$, we can rewrite the equation as $\frac{x}{5} \cdot log(8) = log(55)$. Solving for $x$ gives $x = \frac{5 \cdot log(55)}{log(8)}$, which approximately equals 9.64.

Solve the Equation for the Unknown Quantity X 8x/5=558 ^ { x / 5 } = 558x/5=55

Solve the Equation for the Unknown Quantity X $8 ^ { x / 5 } = 55$